On the joint universality for Dirichlet series connected to periodic zeta-functions

被引：0

作者：

Laurincikas, Antanas ^{[1
]}

机构：

[1] Vilnius Univ, Inst Math, Fac Math & Informat, Naugarduko Str 24, LT-03225 Vilnius, Lithuania

来源：

QUAESTIONES MATHEMATICAE | 2023年 / 46卷 / 12期

关键词：

Approximation of analytic functions; periodic Hurwitz zeta-function; periodic zeta-function; universality;

D O I：

10.2989/16073606.2023.2178345

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, we consider a collection of absolutely convergent Dirichlet series which in the mean are close to periodic and periodic Hurwitz zeta-functions, and prove that the shifts of mentioned Dirichlet series approximate simultaneously a wide class of analytic functions.

引用

页码：2593 / 2604

页数：12